• 제목/요약/키워드: Nonlinear modelling

검색결과 310건 처리시간 0.026초

Modelling of chloride diffusion in saturated concrete

  • Tsao, Wen-Hu;Huang, Nai-Ming;Liang, Ming-Te
    • Computers and Concrete
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    • 제15권1호
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    • pp.127-140
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    • 2015
  • The process of chloride ingress in saturated concrete was presented by a previous study that used a mathematical model for the same as that concrete. This model is to be studied chloride ion diffusion which is considered as a chemical phenomenon and is to be represented the chloride diffusion process to be a nonlinear partial differential equation (PDE). In this paper, this nonlinear PDE is solved by the Kirchhoff transformation to render into a linear PDE. This linear PDE associated with initial and boundary conditions is also solved by the Laplace transformation to obtain an analytical solution. To verify the serviceability and reliability of this proposed method, the practical application should be supplied. The input parameters were cited from the previous study. The free chloride concentration profiles obtained by the analytical solution of mathematical model for saturated concretes after 24 and 120 hrs of exposure were compared with the previous study. The predicted results obtained from proposed method have a tendency with experimental results obtained by the previous study and trend toward numerical results approximated by finite difference technique.

An advanced technique to predict time-dependent corrosion damage of onshore, offshore, nearshore and ship structures: Part II = Application to the ship's ballast tank

  • Kim, Do Kyun;Lim, Hui Ling;Cho, Nak-Kyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.645-656
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    • 2020
  • In this study (Part II), the empirical formulation of corrosion model of a ship's ballast tank was developed to predict nonlinear time-dependent corrosion wastage based on the advanced data processing technique proposed by Part I. The detail on how to propose generalised mathematical formulation of corrosion model was precisely documented in the previous paper (Part I). The statistical scatter of corrosion data at any exposure time was investigated by the refined method and formulated based on a 2-parameter Weibull distribution which selected the best fit PDF. Throughout the nine (9) steps, empirical formulation of the ship's seawater ballast tank was successfully proposed and four (4) key step results were also obtained. The proposed method in Part I was verified and confirmed by this application of seawater ballast tank, thus making it possible to predict accurate behaviours of nonlinear timedependent corrosion. Developed procedures and obtained corrosion damage model for ship's seawater ballast tank can be used for development of engineering software.

An advanced technique to predict time-dependent corrosion damage of onshore, offshore, nearshore and ship structures: Part I = generalisation

  • Kim, Do Kyun;Wong, Eileen Wee Chin;Cho, Nak-Kyun
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제12권1호
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    • pp.657-666
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    • 2020
  • A reliable and cost-effective technique for the development of corrosion damage model is introduced to predict nonlinear time-dependent corrosion wastage of steel structures. A detailed explanation on how to propose a generalised mathematical formulation of the corrosion model is investigated in this paper (Part I), and verification and application of the developed method are covered in the following paper (Part II) by adopting corrosion data of a ship's ballast tank structure. In this study, probabilistic approaches including statistical analysis were applied to select the best fit probability density function (PDF) for the measured corrosion data. The sub-parameters of selected PDF, e.g., the largest extreme value distribution consisting of scale, and shape parameters, can be formulated as a function of time using curve fitting method. The proposed technique to formulate the refined time-dependent corrosion wastage model (TDCWM) will be useful for engineers as it provides an easy and accurate prediction of the 1) starting time of corrosion, 2) remaining life of the structure, and 3) nonlinear corrosion damage amount over time. In addition, the obtained outcome can be utilised for the development of simplified engineering software shown in Appendix B.

Nonlinear finite element model of the beam-to-column connection for precast concrete frames with high ratio of the continuity tie bars

  • Sergio A. Coelho;Sergio A. Coelho
    • Computers and Concrete
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    • 제31권1호
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    • pp.53-69
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    • 2023
  • The rotational stiffness of a semi-rigid beam-to-column connection plays an important role in the reduction of the second-order effects in the precast concrete skeletal frames. The aim of this study is to present a detailed nonlinear finite element study to reproduce the experimental response of a semi-rigid precast beam-to-column connection composed by corbel, dowel bar and continuity tie bars available in the literature. A parametric study was carried using four arrangements of the reinforcing tie bars in the connection, including high ratio of the continuity tie bars passing around the column in the cast-in-place concrete. The results from the parametric study were compared to analytical equations proposed to evaluate the secant rotational stiffness of beam-to-column connections. The good agreement with the experimental results was obtained, demonstrating that the finite element model can accurately predict the structural behaviour of the beam-to-column connection despite its complex geometric configuration. The secant rotational stiffness of the connection was good evaluated by the analytical model available in the literature for ratio of the continuity tie bars of up to 0.69%. Precast beam-to-column connection with a ratio of the continuity tie bars higher than 1.4% had the secant stiffness overestimated. Therefore, an adjustment coefficient for the effective depth of the crack at the end of the beam was proposed for the analytical model, which is a function of the ratio of the continuity tie bars.

Numerical data-driven machine learning model to predict the strength reduction of fire damaged RC columns

  • HyunKyoung Kim;Hyo-Gyoung Kwak;Ju-Young Hwang
    • Computers and Concrete
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    • 제32권6호
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    • pp.625-637
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    • 2023
  • The application of ML approaches in determining the resisting capacity of fire damaged RC columns is introduced in this paper, on the basis of analysis data driven ML modeling. Considering the characteristics of the structural behavior of fire damaged RC columns, the representative five approaches of Kernel SVM, ANN, RF, XGB and LGBM are adopted and applied. Additional partial monotonic constraints are adopted in modelling, to ensure the monotone decrease of resisting capacity in RC column with fire exposure time. Furthermore, additional suggestions are also added to mitigate the heterogeneous composition of the training data. Since the use of ML approaches will significantly reduce the computation time in determining the resisting capacity of fire damaged RC columns, which requires many complex solution procedures from the heat transfer analysis to the rigorous nonlinear analyses and their repetition with time, the introduced ML approach can more effectively be used in large complex structures with many RC members. Because of the very small amount of experimental data, the training data are analytically determined from a heat transfer analysis and a subsequent nonlinear finite element (FE) analysis, and their accuracy was previously verified through a correlation study between the numerical results and experimental data. The results obtained from the application of ML approaches show that the resisting capacity of fire damaged RC columns can effectively be predicted by ML approaches.

영구동토 급속안정화를 위한 롤타입강재매트의 모델링과 해석(I) - 해석모델의 수립 - (Modelling and Analysis of Roll-Type Steel Mats for Rapid Stabilization of Permafrost (I) - Modeling -)

  • 문도영;강재모;이장근;이상윤;지광습
    • 한국지반신소재학회논문집
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    • 제13권4호
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    • pp.97-107
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    • 2014
  • 본 논문에서는 표준트럭하중을 받는 연약지반에 놓인 롤타입 강재매트의 모델링과 해석을 수행하였다. 롤 타입 강재매트는 접근성이 제한된 동토지역에서 손쉬운 현장운반을 위해 원형으로 접을 수 있는 강재매트를 의미하며, 동토지반의 융해로 형성되는 연약지반을 통과하는 비포장도로의 급속보강을 위해 개발되었다. 해석 모델은 강재매트 연결부의 비선형적 거동특성을 모사할 수 있는 연결요소, 강재매트의 휨강성을 갖는 쉘요소, 지반특성을 고려한 스프링 구속으로 구성된다. 또한 각 해석요소들의 구조적 거동은 각 모델링 단계에서 실험과 해석을 통해 검증되었다. 링크요소가 없는 빔과 쉘 요소해석이 수행되었으며, 본 연구에서 제시된 해석모델의 결과와 비교하였다. 해석결과, 본 연결부를 고려한 쉘 해석모델의 수직 처짐 결과가 다른 모델에 비하여 상당히 큰 것으로 확인되었다. 따라서, 느슨한 모래지반에 놓인 롤 타입 강재매트의 해석모델은 면밀한 변수해석 연구에 근거하여야 함을 알 수 있다.

Modelling beam-to-column joints in seismic analysis of RC frames

  • Lima, Carmine;Martinelli, Enzo;Macorini, Lorenzo;Izzuddin, Bassam A.
    • Earthquakes and Structures
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    • 제12권1호
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    • pp.119-133
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    • 2017
  • Several theoretical and analytical formulations for the prediction of shear strength in reinforced concrete (RC) beam-to-column joints have been recently developed. Some of these predictive models are included in the most recent seismic codes and currently used in practical design. On the other hand, the influence of the stiffness and strength degradations in RC joints on the seismic performance of RC framed buildings has been only marginally studied, and it is generally neglected in practice-oriented seismic analysis. To investigate such influence, this paper proposes a numerical description for representing the cyclic response of RC exterior joints. This is then used in nonlinear numerical simulations of RC frames subjected to earthquake loading. According to the proposed strategy, RC joints are modelled using nonlinear rotational spring elements with strength and stiffness degradations and limited ductility under cyclic loading. The proposed joint model has been firstly calibrated against the results from experimental tests on 12 RC exterior joints. Subsequently, nonlinear static and dynamic analyses have been carried out on two-, three- and four-storey RC frames, which represent realistic existing structures designed according to old standards. The numerical results confirm that the global seismic response of the analysed RC frames is strongly affected by the hysteretic damage in the beam-to-column joints, which determines the failure mode of the frames. This highlights that neglecting the effects of joints damage may potentially lead to non-conservative seismic assessment of existing RC framed structures.

압축응력장 이론을 적용한 콘크리트 유한요소법 개발 (Finite Element Method for Structural Concrete Based on the Compression Field Theory)

  • 조순호
    • 전산구조공학
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    • 제9권1호
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    • pp.151-159
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    • 1996
  • 구조용 콘크리트의 비선형 거동을 예측하기 위하여, 압축강도 연화현상, 거시적 및 회전균열모델등의 내용을 포함하고 있는 압축장 응력장 이론(CFT)에 근거한 유한요소법이 개발/제시되었다. 또한, 이와 관련하여 CFT가 암시하는 탄젠트 및 세칸트 재료강성이 반복계산해법의 관점에서 정의/논의되었다. 최종적으로 계산상의 효율성 증대 및 최대하중 이후의 거동 포착에 주안점을 두어 초기재료 강성을 채택한 변위증분법 논리 및 빠른 수렴을 위한 Over-Relaxtion방법이 Isoparametric계의 8-Node요소에 포함/유도되었다. 이와 같이하여 제시된 비선형 해석 프로그램 NASCOM은 응력 혼돈지역에 위치하는 콘크리트 평면요소의 하중 지지능력, 탄성범위 이후의 변형 특성, 균열양상 및 보강근의 항복범위등의 예측을 가능하게 하였다. NASCOM의 제한된 검증을 위하여, Cervenka의 판넬 시험결과에 대한 하중지지능력 및 변형이력등을 예측한 결과가 전체적인 의미에서 실험결과와 상응하는 일치를 나타내었다.

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NASCOM에 의한 실험결과 예측 (Verification of NASCOM : Nonlinear Finite Element Analysis for Structural Concrete)

  • 조순호
    • 콘크리트학회지
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    • 제8권3호
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    • pp.187-195
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    • 1996
  • 콘크리트 구조요소의 비선형거동을 예측하기 위하여 압축응력장 이론의 기본개념인 압축강도 연화 현상, 거시적 및 회전균열 모델을 고려한 유한요소해석이 제시되었다. 수치해석상의 효율성 및 최대하중 이후의 거동에 주안점을 두어 초기재료 강성을 채택한 변위증분법 논리 및 빠른 수렴을 위한 Over-Relaxation 방법이 Isoparametric계의 8-Node 요소에 포함.유도되었다. 상기에 근거하여 제작된 비선형 프로그램, NASCOM은 다조하중을 지지하는콘크리트 구조요소의 내력, 변형특성, 균열 분포 상황 및 보강근의 항복 분포를 예측하는데 사용할 수 있다. NASCOM의 성능을 검토하기 위하여 이러한 목적에 빈번히 사용되는 Bhide의 패널(PB21) 및 Leonhardt의 춤이 큰보에 대한 해석이 실시되었다. 패널에 대한 해석결과는 대체로 변형이력 및 강도가 강한 거동을 나타내는 반면에, 춤이 큰보에 대해서는 변형이력이 유연한 거동을 나타내고있어, 향후 보다 정확한 결과를 예측하기 위해서는 콘크리트의 인강강화 및 압축강도 연화현상에 대하여 좀더 향상된 재료모델의 고려가 필요한 것으로 판단되었다.

고정익 UAV 모델링 및 비행조종컴퓨터 기반 오토파일럿 통합 시뮬레이션 HILS 환경 구축 (Modelling of Fixed Wing UAV and Flight Control Computer Based Autopilot System Development for Integrated Simulation HILS Environment)

  • 김남수;이동우;이호형;홍수운;방효충
    • 한국항공우주학회지
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    • 제50권12호
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    • pp.857-866
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    • 2022
  • 고정익 UAV는 다른 항공기 플랫폼보다 항속거리와 항속시간에서 큰 이점을 가진다. 이러한 이유로 군에서 정찰용으로 많이 사용된다. 본 연구에서는 랜딩기어를 포함한 고정익 UAV의 모델링을 실시하고, 비행조종컴퓨터에 사용될 유도 및 제어기 설계 및 HILS 환경 구축을 실시하였다. 또한 이륙, 순항, 착륙의 모든 과정을 자동으로 수행하는 오토파일럿 시스템을 제작하였다. 연구에 사용한 고정익 UAV를 Datcom 및 AVL 공력해석 소프트웨어를 사용하여 공력계수를 추출하고 6자유도 모델링을 실시하였다. 비행조종컴퓨터는 항공기의 16개의 비행모드를 분별하여 Carrot Chasing 기반 유도 명령을 생성하는 유도기와 Nonlinear Dynamic Inversion 기법을 사용한 제어기로 구성되어있다. SIMULINK를 사용하여 구현된 모델링과 비행조종컴퓨터는 RTNgine을 사용하여 HILS 환경을 제작하여 고정익 UAV의 통합 시뮬레이션 환경을 제작하였다.